Počet záznamů: 1

A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control

  1. 1.
    0468140 - UGN-S 2018 RIV NL eng J - Článek v odborném periodiku
    Axelsson, Owe - Farouq, S. - Neytcheva, M.
    A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control.
    Journal of Computational and Applied Mathematics. Roč. 310, January 2017 (2017), s. 5-18 ISSN 0377-0427
    Grant CEP: GA MŠk ED1.1.00/02.0070
    Institucionální podpora: RVO:68145535
    Klíčová slova: optimal control * time-harmonic Stokes problem * preconditioning
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.357, rok: 2016
    http://www.sciencedirect.com/science/article/pii/S0377042716302631

    In this article we construct an efficient preconditioner for solving the algebraic systems arising from discretized optimal control problems with time-periodic Stokes equations, based on a preconditioning technique for stationary Stokes-constrained optimal control problems, considered in an earlier paper by the authors. A simplified analysis of the derivation of the preconditioner and its properties is presented. The preconditioner is fully parameter-independent and the condition number of the corresponding preconditioned matrix is bounded by 2. The so-constructed preconditioner is favourably compared with another robust preconditioner for the same problem.
    Trvalý link: http://hdl.handle.net/11104/0265993